Classification of Combinatorial Surfaces (Part II) 
Classification of Combinatorial Surfaces (Part II)
by UNSW / N.J. Wildberger
Video Lecture 19 of 26
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Date Added: July 28, 2011

Lecture Description

In this video lecture, Prof. N.J. Wildberger presents the traditional proof of the most important theorem in Algebraic Topology: the classification of (two-dimensional) surfaces using a reduction to a normal or standard form. The main idea is to carefully cut and paste the polygons forming the surface in a particular way, creating either a sphere, or a number of crosscaps or handles.

Course Index

Course Description

In this course, Prof. N.J. Wildberger gives 26 video lectures on Algebraic Topology.  This is a beginner's course in Algebraic Topology given by Assoc. Prof. N J Wildberger of the School of Mathematics and Statistics, UNSW. It features a visual approach to the subject that stresses the importance of familiarity with specific examples. It also introduces 'rational curvature', a simple but important innovation. NJ Wildberger is also the developer of Rational Trigonometry: a new and better way of learning and using trigonometry.

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